Steel and Composite Structures

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Vibration and buckling analyses of laminated panels with and without cutouts under compressive and tensile edge loads

  • Rajanna, T. (Department of Civil Engineering, Indian Institute of Technology Bombay) ;
  • Banerjee, Sauvik (Department of Civil Engineering, Indian Institute of Technology Bombay) ;
  • Desai, Yogesh M. (Department of Civil Engineering, Indian Institute of Technology Bombay) ;
  • Prabhakara, D.L. (Sahyadri College of Engineering & Management)
  • Received : 2015.07.20
  • Accepted : 2016.02.29
  • Published : 2016.05.20
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Abstract

In this study, the influence of centrally placed circular and square cutouts on vibration and buckling characteristics of different ply-oriented laminated panels under the action of compressive and/or tensile types of non-uniform in-plane edge loads are investigated. The panels are inspected under the action of uniaxial compression, uniaxial tension and biaxial, compression-tension, loading configurations. Furthermore, the effects of different degrees of edge restraints and panel aspect ratios are also addressed in this work. Towards this, a nine-node heterosis plate element has been adopted which includes the effect of shear deformation and rotary inertia. According to the results, the tensile buckling loads are higher than that of compressive buckling loads. However, the tensile buckling load continuously reduces with the increased cutout sizes irrespective of ply-orientations. This is also true for compressive buckling loads except for some particular ply-orientations with higher sized cutouts.

Keywords

References

  1. Afsharmanesh, B., Ghaheri, A. and Taheri-Behrooz, F. (2014), "Buckling and vibration of laminated composite circular plate on winkler-type foundation", Steel Compos. Struct., Int. J., 17(1), 1-19. https://doi.org/10.12989/scs.2014.17.1.001
  2. Altunsaray, E. and Bayer, I. (2014), "Buckling of symmetrically laminated quasi-isotropic thin rectangular plates", Steel Compos. Struct., Int. J., 17(3), 305-320. https://doi.org/10.12989/scs.2014.17.3.305
  3. Ashour, A.S. (2003), "Buckling and vibration of symmetric laminated composite plates with edges elastically restrained", Steel Compos. Struct., Int. J., 3(6), 439-450. https://doi.org/10.12989/scs.2003.3.6.439
  4. Aydin Komur, M. and Sonmez, M. (2008), "Elastic buckling of rectangular plates under linearly varying inplane normal load with a circular cutout", Mech. Res. Commun., 35(6), 361-371. https://doi.org/10.1016/j.mechrescom.2008.01.005
  5. Baba, B.O. (2007), "Buckling behavior of laminated composite plates", J. Reinf. Plast. Compos., 26(16), 1637-1655. https://doi.org/10.1177/0731684407079515
  6. Baba, B.O. and Baltaci, A. (2007), "Buckling characteristics of symmetrically and antisymmetrically laminated composite plates with central cutout", Appl. Compos. Mater., 14(4), 265-276. https://doi.org/10.1007/s10443-007-9045-z
  7. Bathe, K.J. (1996), Finite Element Procedures, Prentice Hall, Englewood Cliffs, NJ, USA.
  8. Butalia, T.S., Kant, T. and Dixit, V.D. (1990), "Performance of heterosis element for bending of skew rhombic plates", Comput. Struct., 34(1), 23-49. https://doi.org/10.1016/0045-7949(90)90298-G
  9. Deolasi, P.J., Datta, P.K. and Prabhakar, D.L. (1995), "Buckling and vibration of rectangular plates subjected to partial edge loading (compression or tension)", J. Struct. Eng., 22(3), 135-144.
  10. Ghannadpour, S.A.M., Najafi, A. and Mohammadi, B. (2006), "On the buckling behavior of cross-ply laminated composite plates due to circular/elliptical cutouts", Compos. Struct., 75(1), 3-6. https://doi.org/10.1016/j.compstruct.2006.04.071
  11. Hughes, T.J.R. and Cohen, M. (1978), "The "heterosis" finite element for plate bending", Comput. Struct., 9(5), 445-450. https://doi.org/10.1016/0045-7949(78)90041-X
  12. Jain, P. and Kumar, A. (2004), "Postbuckling response of square laminates with a central circular/elliptical cutout", Compos. Struct., 65(2), 179-185. https://doi.org/10.1016/j.compstruct.2003.10.014
  13. Komur, M.A. and Sonmez, M. (2015), "Elastic buckling behavior of rectangular plates with holes subjected to partial edge loading", J. Construct. Steel Res., 112, 54-60. https://doi.org/10.1016/j.jcsr.2015.04.020
  14. Komur, M.A., Sen, F., Atas, A. and Arslan, N. (2010), "Buckling analysis of laminated composite plates with an elliptical/circular cutout using FEM", Adv. Eng. Software, 41(2), 161-164. https://doi.org/10.1016/j.advengsoft.2009.09.005
  15. Kremer, T. and Schurmann, H. (2008), "Buckling of tension-loaded thin-walled composite plates with cutouts", Compos. Sci. Technol., 68(1), 90-97. https://doi.org/10.1016/j.compscitech.2007.05.035
  16. Kumar, D. and Singh, S.B. (2010), "Effects of boundary conditions on buckling and postbuckling responses of composite laminate with various shaped cutouts", Compos. Struct., 92(3), 769-779. https://doi.org/10.1016/j.compstruct.2009.08.049
  17. Kumar, L.R., Datta, P.K. and Prabhakara, D.L. (2002), "Tension buckling and vibration behaviour of curved panels subjected to non-uniform in-plane edge loading", Int. J. Struct. Stab. Dyn., 2(3), 409-423. https://doi.org/10.1142/S0219455402000579
  18. Kumar, L.R., Datta, P.K. and Prabhakara, D.L. (2003), "Tension buckling and dynamic stability behaviour of laminated composite doubly curved panels subjected to partial edge loading", Compos. Struct., 60(2), 171-181. https://doi.org/10.1016/S0263-8223(02)00314-8
  19. Kumar, L.R., Datta, P.K. and Prabhakara, D.L. (2005), "Vibration and stability behavior of laminated composite curved panels with cutout under partial in-plane loads", Int. J. Struct. Stab. Dyn., 5(1), 75-94. https://doi.org/10.1142/S0219455405001507
  20. Kutlu, D. (2011), "Influence of aspect ratio and fibre orientation on the stability of simply supported orthotropic skew plates", Steel Compos. Struct., Int. J., 11(5), 359-374. https://doi.org/10.12989/scs.2011.11.5.359
  21. Lal, R. and Saini, R. (2013), "Buckling and vibration of non-homogeneous rectangular plates subjected to linearly varying in-plane force", Shock Vib., 20(5), 879-894. https://doi.org/10.1155/2013/579813
  22. Leissa, A.W. and Ayoub, E.F. (1988), "Vibration and buckling of a simply supported rectangular plate subjected to a pair of in-plane concentrated forces", J. Sound Vib., 127(1), 155-171. https://doi.org/10.1016/0022-460X(88)90356-2
  23. Narayana, A.L., Rao, K. and Kumar, R.V. (2014), "Buckling analysis of rectangular composite plates with rectangular cutout subjected to linearly varying in-plane loading using fem", Sadhana, 39(3), 583-596. https://doi.org/10.1007/s12046-014-0250-9
  24. Reddy, J.N. (1996), Mechanics of Laminated Composite Plates, CRC press, New York, NY, USA.
  25. Reddy, J.N. and Phan, N.D. (1985), "Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory", J. Sound Vib., 98(2), 157-170. https://doi.org/10.1016/0022-460X(85)90383-9
  26. Shimizu, S. (2007), "Tension buckling of plate having a hole", Thin-Wall. Struct., 45(10), 827-833. https://doi.org/10.1016/j.tws.2007.08.033
  27. Singh, S., Kulkarni, K., Pandey, R. and Singh, H. (2012), "Buckling analysis of thin rectangular plates with cutouts subjected to partial edge compression using FEM", J. Eng. Des., 10(1), 128-142.
  28. Soni, G., Singh, R. and Mitra, M. (2013), "Buckling behavior of composite laminates (with and without cutouts) subjected to nonuniform in-plane loads", Int. J. Struct. Stab. Dyn., 13(8), 1350044 (20 p). https://doi.org/10.1142/S0219455413500442
  29. Srivastava, A., Datta, P. and Sheikh, A. (2003), "Buckling and vibration analysis of stiffened plate subjected to in-plane concentrated load", Struct. Eng. Mech., Int. J., 15(6), 685-704. https://doi.org/10.12989/sem.2003.15.6.685
  30. Tang, Y. and Wang, X. (2011), "Buckling of symmetrically laminated rectangular plates under parabolic edge compressions", Int. J. Mech. Sci., 53(2), 91-97. https://doi.org/10.1016/j.ijmecsci.2010.11.005
  31. Topal, U. and Uzman, U. (2008), "Maximization of buckling load of laminated composite plates with central circular holes using MFD method", Struct. Multidisc. Optimiz., 35(2), 131-139. https://doi.org/10.1007/s00158-007-0119-1
  32. Walker, M. (1998), "Optimisation of symmetric laminates with internal line supports for maximum buckling load", Struct. Eng. Mech., Int. J., 6(6), 633-641. https://doi.org/10.12989/sem.1998.6.6.633
  33. Yazici, M., Ozcan, R., Ulku, S. and Okur, I. (2003), "Buckling of composite plates with U-shaped cutouts", J. Compos. Mater., 37(24), 2179-2195. https://doi.org/10.1177/002199803038109
  34. Zhong, H. and Gu, C. (2007), "Buckling of symmetrical cross-ply composite rectangular plates under a linearly varying in-plane load", Compos. Struct., 80(1), 42-48. https://doi.org/10.1016/j.compstruct.2006.02.030

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